Cohomology and Deformation theory of Modified Rota-Baxter Leibniz algebras

Published 18 Nov 2022 in math.RA | (2211.09991v1)

Abstract: In this paper, we define the cohomology of a modified Rota-Baxter Leibniz algebra with coefficients in a suitable representation. As applications of our cohomology, we study formal one-parameter deformations and abelian extensions of modified Rota-Baxter Leibniz algebras.

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